VORTEX SOLUTIONS OF THE HIGH-kappa HIGH-FIELD GINZBURG-LANDAU MODEL WITH AN APPLIED CURRENT
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AbstractIn this paper, we study the single-vortex solutions of a two-dimensional high-kappa high-field Ginzburg-Landau model of superconductivity with a constant applied current. Under a nondegeneracy condition and for appropriate ranges of the applied magnetic field and applied current, we construct some special solutions which, up to a constant shift of phase in time, are the stationary solutions of the model equation. Our result provides partial justification for the existence of a critical applied current which is the one important step towards a rigorous mathematical characterization of the interactions between the quantized vortices and applied electric current.
All Author(s) ListDu QA, Wei JC, Zhao CY
Journal nameSIAM Journal on Mathematical Analysis
Year2010
Month1
Day1
Volume Number42
Issue Number6
PublisherSIAM PUBLICATIONS
Pages2368 - 2401
ISSN0036-1410
eISSN1095-7154
LanguagesEnglish-United Kingdom
Keywordscritical current; Ginzburg-Landau model; Lorentz force; quantized vortices; steady state vortex solution; superconductivity
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED

Last updated on 2020-14-10 at 00:49